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Finding the Third Proportional to 360.66 and 769.31

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Solution

The third proportional to 360.66 and 769.31 is: 1,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.66 : 769.31 = 769.31 : x
  2. Step 2: Convert to fraction form
    360.66/769.31 = 769.31/x
  3. Step 3: Cross multiply
    360.66x = 769.31 × 769.31
  4. Step 4: Simplify right side
    360.66x = 591,841.72
  5. Step 5: Solve for x
    x = 591,841.72/360.66
  6. Step 6: Final answer
    x = 1,641.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.